What is the Least Common Multiple of 70032 and 70043?

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 70032 and 70043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70032 and 70043, than apply into the LCM equation.

GCF(70032,70043) = 1
LCM(70032,70043) = ( 70032 × 70043) / 1
LCM(70032,70043) = 4905251376 / 1
LCM(70032,70043) = 4905251376

Least Common Multiple (LCM) of 70032 and 70043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70032 and 70043. First we will calculate the prime factors of 70032 and 70043.

Prime Factorization of 70032

Prime Factorization of 70043

Now multiplying the highest exponent prime factors to calculate the LCM of 70032 and 70043.

LCM(70032,70043) = 2⁴ × 3¹ × 1459¹ × 89¹ × 787¹
LCM(70032,70043) = 4905251376