What is the Least Common Multiple of 44125 and 44142?

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 44125 and 44142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44125 and 44142, than apply into the LCM equation.

GCF(44125,44142) = 1
LCM(44125,44142) = ( 44125 × 44142) / 1
LCM(44125,44142) = 1947765750 / 1
LCM(44125,44142) = 1947765750

Least Common Multiple (LCM) of 44125 and 44142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44125 and 44142. First we will calculate the prime factors of 44125 and 44142.

Prime Factorization of 44125

Prime Factorization of 44142

Now multiplying the highest exponent prime factors to calculate the LCM of 44125 and 44142.

LCM(44125,44142) = 5³ × 353¹ × 2¹ × 3¹ × 7¹ × 1051¹
LCM(44125,44142) = 1947765750