What is the Least Common Multiple of 47051 and 47070?

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 47051 and 47070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47051 and 47070, than apply into the LCM equation.

GCF(47051,47070) = 1
LCM(47051,47070) = ( 47051 × 47070) / 1
LCM(47051,47070) = 2214690570 / 1
LCM(47051,47070) = 2214690570

Least Common Multiple (LCM) of 47051 and 47070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47051 and 47070. First we will calculate the prime factors of 47051 and 47070.

Prime Factorization of 47051

Prime Factorization of 47070

Now multiplying the highest exponent prime factors to calculate the LCM of 47051 and 47070.

LCM(47051,47070) = 47051¹ × 2¹ × 3² × 5¹ × 523¹
LCM(47051,47070) = 2214690570