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What is the Least Common Multiple of 60947 and 60955?

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 60947 and 60955 is 3715024385.

LCM(60947,60955) = 3715024385

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Least Common Multiple of 60947 and 60955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60947 and 60955, than apply into the LCM equation.

GCF(60947,60955) = 1
LCM(60947,60955) = ( 60947 × 60955) / 1
LCM(60947,60955) = 3715024385 / 1
LCM(60947,60955) = 3715024385

Least Common Multiple (LCM) of 60947 and 60955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60947 and 60955. First we will calculate the prime factors of 60947 and 60955.

Prime Factorization of 60947

Prime factors of 60947 are 59, 1033. Prime factorization of 60947 in exponential form is:

60947 = 591 × 10331

Prime Factorization of 60955

Prime factors of 60955 are 5, 73, 167. Prime factorization of 60955 in exponential form is:

60955 = 51 × 731 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 60947 and 60955.

LCM(60947,60955) = 591 × 10331 × 51 × 731 × 1671
LCM(60947,60955) = 3715024385