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What is the Least Common Multiple of 2950 and 2955?

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 2950 and 2955 is 1743450.

LCM(2950,2955) = 1743450

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Least Common Multiple of 2950 and 2955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2950 and 2955, than apply into the LCM equation.

GCF(2950,2955) = 5
LCM(2950,2955) = ( 2950 × 2955) / 5
LCM(2950,2955) = 8717250 / 5
LCM(2950,2955) = 1743450

Least Common Multiple (LCM) of 2950 and 2955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2950 and 2955. First we will calculate the prime factors of 2950 and 2955.

Prime Factorization of 2950

Prime factors of 2950 are 2, 5, 59. Prime factorization of 2950 in exponential form is:

2950 = 21 × 52 × 591

Prime Factorization of 2955

Prime factors of 2955 are 3, 5, 197. Prime factorization of 2955 in exponential form is:

2955 = 31 × 51 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 2950 and 2955.

LCM(2950,2955) = 21 × 52 × 591 × 31 × 1971
LCM(2950,2955) = 1743450