What is the Least Common Multiple of 73566 and 73570?

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 73566 and 73570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73566 and 73570, than apply into the LCM equation.

GCF(73566,73570) = 2
LCM(73566,73570) = ( 73566 × 73570) / 2
LCM(73566,73570) = 5412250620 / 2
LCM(73566,73570) = 2706125310

Least Common Multiple (LCM) of 73566 and 73570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73566 and 73570. First we will calculate the prime factors of 73566 and 73570.

Prime Factorization of 73566

Prime Factorization of 73570

Now multiplying the highest exponent prime factors to calculate the LCM of 73566 and 73570.

LCM(73566,73570) = 2¹ × 3² × 61¹ × 67¹ × 5¹ × 7¹ × 1051¹
LCM(73566,73570) = 2706125310