What is the Least Common Multiple of 43062 and 43070?

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 43062 and 43070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43062 and 43070, than apply into the LCM equation.

GCF(43062,43070) = 2
LCM(43062,43070) = ( 43062 × 43070) / 2
LCM(43062,43070) = 1854680340 / 2
LCM(43062,43070) = 927340170

Least Common Multiple (LCM) of 43062 and 43070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43062 and 43070. First we will calculate the prime factors of 43062 and 43070.

Prime Factorization of 43062

Prime Factorization of 43070

Now multiplying the highest exponent prime factors to calculate the LCM of 43062 and 43070.

LCM(43062,43070) = 2¹ × 3¹ × 7177¹ × 5¹ × 59¹ × 73¹
LCM(43062,43070) = 927340170