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What is the Least Common Multiple of 61372 and 61391?

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 61372 and 61391 is 3767688452.

LCM(61372,61391) = 3767688452

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Least Common Multiple of 61372 and 61391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61372 and 61391, than apply into the LCM equation.

GCF(61372,61391) = 1
LCM(61372,61391) = ( 61372 × 61391) / 1
LCM(61372,61391) = 3767688452 / 1
LCM(61372,61391) = 3767688452

Least Common Multiple (LCM) of 61372 and 61391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61372 and 61391. First we will calculate the prime factors of 61372 and 61391.

Prime Factorization of 61372

Prime factors of 61372 are 2, 67, 229. Prime factorization of 61372 in exponential form is:

61372 = 22 × 671 × 2291

Prime Factorization of 61391

Prime factors of 61391 are 11, 5581. Prime factorization of 61391 in exponential form is:

61391 = 111 × 55811

Now multiplying the highest exponent prime factors to calculate the LCM of 61372 and 61391.

LCM(61372,61391) = 22 × 671 × 2291 × 111 × 55811
LCM(61372,61391) = 3767688452