What is the Least Common Multiple of 73984 and 74002?

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 73984 and 74002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73984 and 74002, than apply into the LCM equation.

GCF(73984,74002) = 2
LCM(73984,74002) = ( 73984 × 74002) / 2
LCM(73984,74002) = 5474963968 / 2
LCM(73984,74002) = 2737481984

Least Common Multiple (LCM) of 73984 and 74002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73984 and 74002. First we will calculate the prime factors of 73984 and 74002.

Prime Factorization of 73984

Prime Factorization of 74002

Now multiplying the highest exponent prime factors to calculate the LCM of 73984 and 74002.

LCM(73984,74002) = 2⁸ × 17² × 163¹ × 227¹
LCM(73984,74002) = 2737481984