What is the Least Common Multiple of 49692 and 49699?

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 49699 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 49699, than apply into the LCM equation.

GCF(49692,49699) = 1
LCM(49692,49699) = ( 49692 × 49699) / 1
LCM(49692,49699) = 2469642708 / 1
LCM(49692,49699) = 2469642708

Least Common Multiple (LCM) of 49692 and 49699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49692 and 49699. First we will calculate the prime factors of 49692 and 49699.

Prime Factorization of 49692

Prime Factorization of 49699

Now multiplying the highest exponent prime factors to calculate the LCM of 49692 and 49699.

LCM(49692,49699) = 2² × 3¹ × 41¹ × 101¹ × 13¹ × 3823¹
LCM(49692,49699) = 2469642708