What is the Least Common Multiple of 36972 and 36984?

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 of 36972 and 36984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36972 and 36984, than apply into the LCM equation.

GCF(36972,36984) = 12
LCM(36972,36984) = ( 36972 × 36984) / 12
LCM(36972,36984) = 1367372448 / 12
LCM(36972,36984) = 113947704

Least Common Multiple (LCM) of 36972 and 36984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36972 and 36984. First we will calculate the prime factors of 36972 and 36984.

Prime Factorization of 36972

Prime Factorization of 36984

Now multiplying the highest exponent prime factors to calculate the LCM of 36972 and 36984.

LCM(36972,36984) = 2³ × 3² × 13¹ × 79¹ × 23¹ × 67¹
LCM(36972,36984) = 113947704