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What is the Least Common Multiple of 60911 and 60919?

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 60911 and 60919 is 3710637209.

LCM(60911,60919) = 3710637209

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Least Common Multiple of 60911 and 60919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60911 and 60919, than apply into the LCM equation.

GCF(60911,60919) = 1
LCM(60911,60919) = ( 60911 × 60919) / 1
LCM(60911,60919) = 3710637209 / 1
LCM(60911,60919) = 3710637209

Least Common Multiple (LCM) of 60911 and 60919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60911 and 60919. First we will calculate the prime factors of 60911 and 60919.

Prime Factorization of 60911

Prime factors of 60911 are 17, 3583. Prime factorization of 60911 in exponential form is:

60911 = 171 × 35831

Prime Factorization of 60919

Prime factors of 60919 are 60919. Prime factorization of 60919 in exponential form is:

60919 = 609191

Now multiplying the highest exponent prime factors to calculate the LCM of 60911 and 60919.

LCM(60911,60919) = 171 × 35831 × 609191
LCM(60911,60919) = 3710637209