What is the Least Common Multiple of 73674 and 73678?

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 73674 and 73678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73674 and 73678, than apply into the LCM equation.

GCF(73674,73678) = 2
LCM(73674,73678) = ( 73674 × 73678) / 2
LCM(73674,73678) = 5428152972 / 2
LCM(73674,73678) = 2714076486

Least Common Multiple (LCM) of 73674 and 73678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73674 and 73678. First we will calculate the prime factors of 73674 and 73678.

Prime Factorization of 73674

Prime Factorization of 73678

Now multiplying the highest exponent prime factors to calculate the LCM of 73674 and 73678.

LCM(73674,73678) = 2¹ × 3² × 4093¹ × 11¹ × 17¹ × 197¹
LCM(73674,73678) = 2714076486