What is the Least Common Multiple of 50685 and 50702?

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 50685 and 50702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50685 and 50702, than apply into the LCM equation.

GCF(50685,50702) = 1
LCM(50685,50702) = ( 50685 × 50702) / 1
LCM(50685,50702) = 2569830870 / 1
LCM(50685,50702) = 2569830870

Least Common Multiple (LCM) of 50685 and 50702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50685 and 50702. First we will calculate the prime factors of 50685 and 50702.

Prime Factorization of 50685

Prime Factorization of 50702

Now multiplying the highest exponent prime factors to calculate the LCM of 50685 and 50702.

LCM(50685,50702) = 3¹ × 5¹ × 31¹ × 109¹ × 2¹ × 101¹ × 251¹
LCM(50685,50702) = 2569830870