What is the Least Common Multiple of 74564 and 74570?

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 74564 and 74570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74564 and 74570, than apply into the LCM equation.

GCF(74564,74570) = 2
LCM(74564,74570) = ( 74564 × 74570) / 2
LCM(74564,74570) = 5560237480 / 2
LCM(74564,74570) = 2780118740

Least Common Multiple (LCM) of 74564 and 74570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74564 and 74570. First we will calculate the prime factors of 74564 and 74570.

Prime Factorization of 74564

Prime Factorization of 74570

Now multiplying the highest exponent prime factors to calculate the LCM of 74564 and 74570.

LCM(74564,74570) = 2² × 7¹ × 2663¹ × 5¹ × 7457¹
LCM(74564,74570) = 2780118740