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What is the Least Common Multiple of 22715 and 22719?

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 22715 and 22719 is 516062085.

LCM(22715,22719) = 516062085

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Least Common Multiple of 22715 and 22719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22715 and 22719, than apply into the LCM equation.

GCF(22715,22719) = 1
LCM(22715,22719) = ( 22715 × 22719) / 1
LCM(22715,22719) = 516062085 / 1
LCM(22715,22719) = 516062085

Least Common Multiple (LCM) of 22715 and 22719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22715 and 22719. First we will calculate the prime factors of 22715 and 22719.

Prime Factorization of 22715

Prime factors of 22715 are 5, 7, 11, 59. Prime factorization of 22715 in exponential form is:

22715 = 51 × 71 × 111 × 591

Prime Factorization of 22719

Prime factors of 22719 are 3, 7573. Prime factorization of 22719 in exponential form is:

22719 = 31 × 75731

Now multiplying the highest exponent prime factors to calculate the LCM of 22715 and 22719.

LCM(22715,22719) = 51 × 71 × 111 × 591 × 31 × 75731
LCM(22715,22719) = 516062085