What is the Least Common Multiple of 72972 and 72983?

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 72972 and 72983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72972 and 72983, than apply into the LCM equation.

GCF(72972,72983) = 1
LCM(72972,72983) = ( 72972 × 72983) / 1
LCM(72972,72983) = 5325715476 / 1
LCM(72972,72983) = 5325715476

Least Common Multiple (LCM) of 72972 and 72983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72972 and 72983. First we will calculate the prime factors of 72972 and 72983.

Prime Factorization of 72972

Prime Factorization of 72983

Now multiplying the highest exponent prime factors to calculate the LCM of 72972 and 72983.

LCM(72972,72983) = 2² × 3² × 2027¹ × 59¹ × 1237¹
LCM(72972,72983) = 5325715476