What is the Least Common Multiple of 50142 and 50162?

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 50142 and 50162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50142 and 50162, than apply into the LCM equation.

GCF(50142,50162) = 2
LCM(50142,50162) = ( 50142 × 50162) / 2
LCM(50142,50162) = 2515223004 / 2
LCM(50142,50162) = 1257611502

Least Common Multiple (LCM) of 50142 and 50162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50142 and 50162. First we will calculate the prime factors of 50142 and 50162.

Prime Factorization of 50142

Prime Factorization of 50162

Now multiplying the highest exponent prime factors to calculate the LCM of 50142 and 50162.

LCM(50142,50162) = 2¹ × 3¹ × 61¹ × 137¹ × 7¹ × 3583¹
LCM(50142,50162) = 1257611502