What is the Least Common Multiple of 52560 and 52574?

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 52560 and 52574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52560 and 52574, than apply into the LCM equation.

GCF(52560,52574) = 2
LCM(52560,52574) = ( 52560 × 52574) / 2
LCM(52560,52574) = 2763289440 / 2
LCM(52560,52574) = 1381644720

Least Common Multiple (LCM) of 52560 and 52574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52560 and 52574. First we will calculate the prime factors of 52560 and 52574.

Prime Factorization of 52560

Prime Factorization of 52574

Now multiplying the highest exponent prime factors to calculate the LCM of 52560 and 52574.

LCM(52560,52574) = 2⁴ × 3² × 5¹ × 73¹ × 97¹ × 271¹
LCM(52560,52574) = 1381644720