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What is the Least Common Multiple of 36501 and 36518?

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 36501 and 36518 is 1332943518.

LCM(36501,36518) = 1332943518

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Least Common Multiple of 36501 and 36518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36501 and 36518, than apply into the LCM equation.

GCF(36501,36518) = 1
LCM(36501,36518) = ( 36501 × 36518) / 1
LCM(36501,36518) = 1332943518 / 1
LCM(36501,36518) = 1332943518

Least Common Multiple (LCM) of 36501 and 36518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36501 and 36518. First we will calculate the prime factors of 36501 and 36518.

Prime Factorization of 36501

Prime factors of 36501 are 3, 23. Prime factorization of 36501 in exponential form is:

36501 = 31 × 233

Prime Factorization of 36518

Prime factors of 36518 are 2, 19, 31. Prime factorization of 36518 in exponential form is:

36518 = 21 × 191 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 36501 and 36518.

LCM(36501,36518) = 31 × 233 × 21 × 191 × 312
LCM(36501,36518) = 1332943518