What is the Least Common Multiple of 50060 and 50078?

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 50060 and 50078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50060 and 50078, than apply into the LCM equation.

GCF(50060,50078) = 2
LCM(50060,50078) = ( 50060 × 50078) / 2
LCM(50060,50078) = 2506904680 / 2
LCM(50060,50078) = 1253452340

Least Common Multiple (LCM) of 50060 and 50078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50060 and 50078. First we will calculate the prime factors of 50060 and 50078.

Prime Factorization of 50060

Prime Factorization of 50078

Now multiplying the highest exponent prime factors to calculate the LCM of 50060 and 50078.

LCM(50060,50078) = 2² × 5¹ × 2503¹ × 7³ × 73¹
LCM(50060,50078) = 1253452340