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What is the Least Common Multiple of 61771 and 61781?

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 61771 and 61781 is 3816274151.

LCM(61771,61781) = 3816274151

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Least Common Multiple of 61771 and 61781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61771 and 61781, than apply into the LCM equation.

GCF(61771,61781) = 1
LCM(61771,61781) = ( 61771 × 61781) / 1
LCM(61771,61781) = 3816274151 / 1
LCM(61771,61781) = 3816274151

Least Common Multiple (LCM) of 61771 and 61781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61771 and 61781. First we will calculate the prime factors of 61771 and 61781.

Prime Factorization of 61771

Prime factors of 61771 are 223, 277. Prime factorization of 61771 in exponential form is:

61771 = 2231 × 2771

Prime Factorization of 61781

Prime factors of 61781 are 61781. Prime factorization of 61781 in exponential form is:

61781 = 617811

Now multiplying the highest exponent prime factors to calculate the LCM of 61771 and 61781.

LCM(61771,61781) = 2231 × 2771 × 617811
LCM(61771,61781) = 3816274151