What is the Least Common Multiple of 23054 and 23070?

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 23054 and 23070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23054 and 23070, than apply into the LCM equation.

GCF(23054,23070) = 2
LCM(23054,23070) = ( 23054 × 23070) / 2
LCM(23054,23070) = 531855780 / 2
LCM(23054,23070) = 265927890

Least Common Multiple (LCM) of 23054 and 23070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23054 and 23070. First we will calculate the prime factors of 23054 and 23070.

Prime Factorization of 23054

Prime Factorization of 23070

Now multiplying the highest exponent prime factors to calculate the LCM of 23054 and 23070.

LCM(23054,23070) = 2¹ × 11527¹ × 3¹ × 5¹ × 769¹
LCM(23054,23070) = 265927890