What is the Least Common Multiple of 45650 and 45670?

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 45650 and 45670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45650 and 45670, than apply into the LCM equation.

GCF(45650,45670) = 10
LCM(45650,45670) = ( 45650 × 45670) / 10
LCM(45650,45670) = 2084835500 / 10
LCM(45650,45670) = 208483550

Least Common Multiple (LCM) of 45650 and 45670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45650 and 45670. First we will calculate the prime factors of 45650 and 45670.

Prime Factorization of 45650

Prime Factorization of 45670

Now multiplying the highest exponent prime factors to calculate the LCM of 45650 and 45670.

LCM(45650,45670) = 2¹ × 5² × 11¹ × 83¹ × 4567¹
LCM(45650,45670) = 208483550