What is the Least Common Multiple of 46680 and 46692?

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 46680 and 46692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46680 and 46692, than apply into the LCM equation.

GCF(46680,46692) = 12
LCM(46680,46692) = ( 46680 × 46692) / 12
LCM(46680,46692) = 2179582560 / 12
LCM(46680,46692) = 181631880

Least Common Multiple (LCM) of 46680 and 46692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46680 and 46692. First we will calculate the prime factors of 46680 and 46692.

Prime Factorization of 46680

Prime Factorization of 46692

Now multiplying the highest exponent prime factors to calculate the LCM of 46680 and 46692.

LCM(46680,46692) = 2³ × 3² × 5¹ × 389¹ × 1297¹
LCM(46680,46692) = 181631880