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What is the Least Common Multiple of 72911 and 72922?

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 72911 and 72922 is 5316815942.

LCM(72911,72922) = 5316815942

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Least Common Multiple of 72911 and 72922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72911 and 72922, than apply into the LCM equation.

GCF(72911,72922) = 1
LCM(72911,72922) = ( 72911 × 72922) / 1
LCM(72911,72922) = 5316815942 / 1
LCM(72911,72922) = 5316815942

Least Common Multiple (LCM) of 72911 and 72922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72911 and 72922. First we will calculate the prime factors of 72911 and 72922.

Prime Factorization of 72911

Prime factors of 72911 are 72911. Prime factorization of 72911 in exponential form is:

72911 = 729111

Prime Factorization of 72922

Prime factors of 72922 are 2, 19, 101. Prime factorization of 72922 in exponential form is:

72922 = 21 × 192 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 72911 and 72922.

LCM(72911,72922) = 729111 × 21 × 192 × 1011
LCM(72911,72922) = 5316815942