What is the Least Common Multiple of 70552 and 70566?

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 70552 and 70566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70552 and 70566, than apply into the LCM equation.

GCF(70552,70566) = 2
LCM(70552,70566) = ( 70552 × 70566) / 2
LCM(70552,70566) = 4978572432 / 2
LCM(70552,70566) = 2489286216

Least Common Multiple (LCM) of 70552 and 70566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70552 and 70566. First we will calculate the prime factors of 70552 and 70566.

Prime Factorization of 70552

Prime Factorization of 70566

Now multiplying the highest exponent prime factors to calculate the LCM of 70552 and 70566.

LCM(70552,70566) = 2³ × 8819¹ × 3¹ × 19¹ × 619¹
LCM(70552,70566) = 2489286216