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What is the Least Common Multiple of 44177 and 44196?

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 44177 and 44196 is 1952446692.

LCM(44177,44196) = 1952446692

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Least Common Multiple of 44177 and 44196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44177 and 44196, than apply into the LCM equation.

GCF(44177,44196) = 1
LCM(44177,44196) = ( 44177 × 44196) / 1
LCM(44177,44196) = 1952446692 / 1
LCM(44177,44196) = 1952446692

Least Common Multiple (LCM) of 44177 and 44196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44177 and 44196. First we will calculate the prime factors of 44177 and 44196.

Prime Factorization of 44177

Prime factors of 44177 are 7, 6311. Prime factorization of 44177 in exponential form is:

44177 = 71 × 63111

Prime Factorization of 44196

Prime factors of 44196 are 2, 3, 29, 127. Prime factorization of 44196 in exponential form is:

44196 = 22 × 31 × 291 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 44177 and 44196.

LCM(44177,44196) = 71 × 63111 × 22 × 31 × 291 × 1271
LCM(44177,44196) = 1952446692