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What is the Least Common Multiple of 61013 and 61025?

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 61013 and 61025 is 3723318325.

LCM(61013,61025) = 3723318325

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Least Common Multiple of 61013 and 61025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61013 and 61025, than apply into the LCM equation.

GCF(61013,61025) = 1
LCM(61013,61025) = ( 61013 × 61025) / 1
LCM(61013,61025) = 3723318325 / 1
LCM(61013,61025) = 3723318325

Least Common Multiple (LCM) of 61013 and 61025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61013 and 61025. First we will calculate the prime factors of 61013 and 61025.

Prime Factorization of 61013

Prime factors of 61013 are 17, 37, 97. Prime factorization of 61013 in exponential form is:

61013 = 171 × 371 × 971

Prime Factorization of 61025

Prime factors of 61025 are 5, 2441. Prime factorization of 61025 in exponential form is:

61025 = 52 × 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 61013 and 61025.

LCM(61013,61025) = 171 × 371 × 971 × 52 × 24411
LCM(61013,61025) = 3723318325