What is the Least Common Multiple of 51690 and 51699?

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 51690 and 51699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51690 and 51699, than apply into the LCM equation.

GCF(51690,51699) = 3
LCM(51690,51699) = ( 51690 × 51699) / 3
LCM(51690,51699) = 2672321310 / 3
LCM(51690,51699) = 890773770

Least Common Multiple (LCM) of 51690 and 51699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51690 and 51699. First we will calculate the prime factors of 51690 and 51699.

Prime Factorization of 51690

Prime Factorization of 51699

Now multiplying the highest exponent prime factors to calculate the LCM of 51690 and 51699.

LCM(51690,51699) = 2¹ × 3¹ × 5¹ × 1723¹ × 19¹ × 907¹
LCM(51690,51699) = 890773770