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What is the Least Common Multiple of 36968 and 36979?

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 36968 and 36979 is 1367039672.

LCM(36968,36979) = 1367039672

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Least Common Multiple of 36968 and 36979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36968 and 36979, than apply into the LCM equation.

GCF(36968,36979) = 1
LCM(36968,36979) = ( 36968 × 36979) / 1
LCM(36968,36979) = 1367039672 / 1
LCM(36968,36979) = 1367039672

Least Common Multiple (LCM) of 36968 and 36979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36968 and 36979. First we will calculate the prime factors of 36968 and 36979.

Prime Factorization of 36968

Prime factors of 36968 are 2, 4621. Prime factorization of 36968 in exponential form is:

36968 = 23 × 46211

Prime Factorization of 36979

Prime factors of 36979 are 36979. Prime factorization of 36979 in exponential form is:

36979 = 369791

Now multiplying the highest exponent prime factors to calculate the LCM of 36968 and 36979.

LCM(36968,36979) = 23 × 46211 × 369791
LCM(36968,36979) = 1367039672