What is the Least Common Multiple of 50702 and 50712?

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 50702 and 50712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50702 and 50712, than apply into the LCM equation.

GCF(50702,50712) = 2
LCM(50702,50712) = ( 50702 × 50712) / 2
LCM(50702,50712) = 2571199824 / 2
LCM(50702,50712) = 1285599912

Least Common Multiple (LCM) of 50702 and 50712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50702 and 50712. First we will calculate the prime factors of 50702 and 50712.

Prime Factorization of 50702

Prime Factorization of 50712

Now multiplying the highest exponent prime factors to calculate the LCM of 50702 and 50712.

LCM(50702,50712) = 2³ × 101¹ × 251¹ × 3¹ × 2113¹
LCM(50702,50712) = 1285599912