What is the Least Common Multiple of 46720 and 46732?

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 46720 and 46732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46720 and 46732, than apply into the LCM equation.

GCF(46720,46732) = 4
LCM(46720,46732) = ( 46720 × 46732) / 4
LCM(46720,46732) = 2183319040 / 4
LCM(46720,46732) = 545829760

Least Common Multiple (LCM) of 46720 and 46732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46720 and 46732. First we will calculate the prime factors of 46720 and 46732.

Prime Factorization of 46720

Prime Factorization of 46732

Now multiplying the highest exponent prime factors to calculate the LCM of 46720 and 46732.

LCM(46720,46732) = 2⁷ × 5¹ × 73¹ × 7¹ × 1669¹
LCM(46720,46732) = 545829760