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What is the Least Common Multiple of 85061 and 85070?

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 85061 and 85070 is 7236139270.

LCM(85061,85070) = 7236139270

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Least Common Multiple of 85061 and 85070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85061 and 85070, than apply into the LCM equation.

GCF(85061,85070) = 1
LCM(85061,85070) = ( 85061 × 85070) / 1
LCM(85061,85070) = 7236139270 / 1
LCM(85061,85070) = 7236139270

Least Common Multiple (LCM) of 85061 and 85070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85061 and 85070. First we will calculate the prime factors of 85061 and 85070.

Prime Factorization of 85061

Prime factors of 85061 are 85061. Prime factorization of 85061 in exponential form is:

85061 = 850611

Prime Factorization of 85070

Prime factors of 85070 are 2, 5, 47, 181. Prime factorization of 85070 in exponential form is:

85070 = 21 × 51 × 471 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 85061 and 85070.

LCM(85061,85070) = 850611 × 21 × 51 × 471 × 1811
LCM(85061,85070) = 7236139270