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What is the Least Common Multiple of 36983 and 36996?

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 36983 and 36996 is 1368223068.

LCM(36983,36996) = 1368223068

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Least Common Multiple of 36983 and 36996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36983 and 36996, than apply into the LCM equation.

GCF(36983,36996) = 1
LCM(36983,36996) = ( 36983 × 36996) / 1
LCM(36983,36996) = 1368223068 / 1
LCM(36983,36996) = 1368223068

Least Common Multiple (LCM) of 36983 and 36996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36983 and 36996. First we will calculate the prime factors of 36983 and 36996.

Prime Factorization of 36983

Prime factors of 36983 are 31, 1193. Prime factorization of 36983 in exponential form is:

36983 = 311 × 11931

Prime Factorization of 36996

Prime factors of 36996 are 2, 3, 3083. Prime factorization of 36996 in exponential form is:

36996 = 22 × 31 × 30831

Now multiplying the highest exponent prime factors to calculate the LCM of 36983 and 36996.

LCM(36983,36996) = 311 × 11931 × 22 × 31 × 30831
LCM(36983,36996) = 1368223068