What is the Least Common Multiple of 70623 and 70642?

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 70623 and 70642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70623 and 70642, than apply into the LCM equation.

GCF(70623,70642) = 19
LCM(70623,70642) = ( 70623 × 70642) / 19
LCM(70623,70642) = 4988949966 / 19
LCM(70623,70642) = 262576314

Least Common Multiple (LCM) of 70623 and 70642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70623 and 70642. First we will calculate the prime factors of 70623 and 70642.

Prime Factorization of 70623

Prime Factorization of 70642

Now multiplying the highest exponent prime factors to calculate the LCM of 70623 and 70642.

LCM(70623,70642) = 3² × 7¹ × 19¹ × 59¹ × 2¹ × 11¹ × 13²
LCM(70623,70642) = 262576314