What is the Least Common Multiple of 72996 and 73000?

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 72996 and 73000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72996 and 73000, than apply into the LCM equation.

GCF(72996,73000) = 4
LCM(72996,73000) = ( 72996 × 73000) / 4
LCM(72996,73000) = 5328708000 / 4
LCM(72996,73000) = 1332177000

Least Common Multiple (LCM) of 72996 and 73000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72996 and 73000. First we will calculate the prime factors of 72996 and 73000.

Prime Factorization of 72996

Prime Factorization of 73000

Now multiplying the highest exponent prime factors to calculate the LCM of 72996 and 73000.

LCM(72996,73000) = 2³ × 3¹ × 7¹ × 11¹ × 79¹ × 5³ × 73¹
LCM(72996,73000) = 1332177000