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What is the Least Common Multiple of 86042 and 86050?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 86042 and 86050 is 3701957050.

LCM(86042,86050) = 3701957050

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Least Common Multiple of 86042 and 86050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86042 and 86050, than apply into the LCM equation.

GCF(86042,86050) = 2
LCM(86042,86050) = ( 86042 × 86050) / 2
LCM(86042,86050) = 7403914100 / 2
LCM(86042,86050) = 3701957050

Least Common Multiple (LCM) of 86042 and 86050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86042 and 86050. First we will calculate the prime factors of 86042 and 86050.

Prime Factorization of 86042

Prime factors of 86042 are 2, 11, 3911. Prime factorization of 86042 in exponential form is:

86042 = 21 × 111 × 39111

Prime Factorization of 86050

Prime factors of 86050 are 2, 5, 1721. Prime factorization of 86050 in exponential form is:

86050 = 21 × 52 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 86042 and 86050.

LCM(86042,86050) = 21 × 111 × 39111 × 52 × 17211
LCM(86042,86050) = 3701957050