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What is the Least Common Multiple of 60951 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 60951 and 60955 is 3715268205.

LCM(60951,60955) = 3715268205

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Least Common Multiple of 60951 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 60951 and 60955, than apply into the LCM equation.

GCF(60951,60955) = 1
LCM(60951,60955) = ( 60951 × 60955) / 1
LCM(60951,60955) = 3715268205 / 1
LCM(60951,60955) = 3715268205

Least Common Multiple (LCM) of 60951 and 60955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60951 and 60955. First we will calculate the prime factors of 60951 and 60955.

Prime Factorization of 60951

Prime factors of 60951 are 3, 11, 1847. Prime factorization of 60951 in exponential form is:

60951 = 31 × 111 × 18471

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 60951 and 60955.

LCM(60951,60955) = 31 × 111 × 18471 × 51 × 731 × 1671
LCM(60951,60955) = 3715268205