What is the Least Common Multiple of 73564 and 73574?

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 73564 and 73574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73564 and 73574, than apply into the LCM equation.

GCF(73564,73574) = 2
LCM(73564,73574) = ( 73564 × 73574) / 2
LCM(73564,73574) = 5412397736 / 2
LCM(73564,73574) = 2706198868

Least Common Multiple (LCM) of 73564 and 73574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73564 and 73574. First we will calculate the prime factors of 73564 and 73574.

Prime Factorization of 73564

Prime Factorization of 73574

Now multiplying the highest exponent prime factors to calculate the LCM of 73564 and 73574.

LCM(73564,73574) = 2² × 53¹ × 347¹ × 36787¹
LCM(73564,73574) = 2706198868