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What is the Least Common Multiple of 79967 and 79987?

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 79967 and 79987 is 6396320429.

LCM(79967,79987) = 6396320429

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Least Common Multiple of 79967 and 79987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79967 and 79987, than apply into the LCM equation.

GCF(79967,79987) = 1
LCM(79967,79987) = ( 79967 × 79987) / 1
LCM(79967,79987) = 6396320429 / 1
LCM(79967,79987) = 6396320429

Least Common Multiple (LCM) of 79967 and 79987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79967 and 79987. First we will calculate the prime factors of 79967 and 79987.

Prime Factorization of 79967

Prime factors of 79967 are 79967. Prime factorization of 79967 in exponential form is:

79967 = 799671

Prime Factorization of 79987

Prime factors of 79987 are 79987. Prime factorization of 79987 in exponential form is:

79987 = 799871

Now multiplying the highest exponent prime factors to calculate the LCM of 79967 and 79987.

LCM(79967,79987) = 799671 × 799871
LCM(79967,79987) = 6396320429