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What is the Least Common Multiple of 61010 and 61021?

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 61010 and 61021 is 3722891210.

LCM(61010,61021) = 3722891210

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Least Common Multiple of 61010 and 61021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61010 and 61021, than apply into the LCM equation.

GCF(61010,61021) = 1
LCM(61010,61021) = ( 61010 × 61021) / 1
LCM(61010,61021) = 3722891210 / 1
LCM(61010,61021) = 3722891210

Least Common Multiple (LCM) of 61010 and 61021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61010 and 61021. First we will calculate the prime factors of 61010 and 61021.

Prime Factorization of 61010

Prime factors of 61010 are 2, 5, 6101. Prime factorization of 61010 in exponential form is:

61010 = 21 × 51 × 61011

Prime Factorization of 61021

Prime factors of 61021 are 139, 439. Prime factorization of 61021 in exponential form is:

61021 = 1391 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 61010 and 61021.

LCM(61010,61021) = 21 × 51 × 61011 × 1391 × 4391
LCM(61010,61021) = 3722891210