What is the Least Common Multiple of 49692 and 49702?

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 49692 and 49702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49692 and 49702, than apply into the LCM equation.

GCF(49692,49702) = 2
LCM(49692,49702) = ( 49692 × 49702) / 2
LCM(49692,49702) = 2469791784 / 2
LCM(49692,49702) = 1234895892

Least Common Multiple (LCM) of 49692 and 49702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49692 and 49702. First we will calculate the prime factors of 49692 and 49702.

Prime Factorization of 49692

Prime Factorization of 49702

Now multiplying the highest exponent prime factors to calculate the LCM of 49692 and 49702.

LCM(49692,49702) = 2² × 3¹ × 41¹ × 101¹ × 24851¹
LCM(49692,49702) = 1234895892