What is the Least Common Multiple of 45712 and 45725?

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 45712 and 45725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45712 and 45725, than apply into the LCM equation.

GCF(45712,45725) = 1
LCM(45712,45725) = ( 45712 × 45725) / 1
LCM(45712,45725) = 2090181200 / 1
LCM(45712,45725) = 2090181200

Least Common Multiple (LCM) of 45712 and 45725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45712 and 45725. First we will calculate the prime factors of 45712 and 45725.

Prime Factorization of 45712

Prime Factorization of 45725

Now multiplying the highest exponent prime factors to calculate the LCM of 45712 and 45725.

LCM(45712,45725) = 2⁴ × 2857¹ × 5² × 31¹ × 59¹
LCM(45712,45725) = 2090181200