What is the Least Common Multiple of 50142 and 50159?

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 50159 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 50159, than apply into the LCM equation.

GCF(50142,50159) = 1
LCM(50142,50159) = ( 50142 × 50159) / 1
LCM(50142,50159) = 2515072578 / 1
LCM(50142,50159) = 2515072578

Least Common Multiple (LCM) of 50142 and 50159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50142 and 50159. First we will calculate the prime factors of 50142 and 50159.

Prime Factorization of 50142

Prime Factorization of 50159

Now multiplying the highest exponent prime factors to calculate the LCM of 50142 and 50159.

LCM(50142,50159) = 2¹ × 3¹ × 61¹ × 137¹ × 50159¹
LCM(50142,50159) = 2515072578