What is the Least Common Multiple of 46364 and 46380?

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 46364 and 46380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46364 and 46380, than apply into the LCM equation.

GCF(46364,46380) = 4
LCM(46364,46380) = ( 46364 × 46380) / 4
LCM(46364,46380) = 2150362320 / 4
LCM(46364,46380) = 537590580

Least Common Multiple (LCM) of 46364 and 46380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46364 and 46380. First we will calculate the prime factors of 46364 and 46380.

Prime Factorization of 46364

Prime Factorization of 46380

Now multiplying the highest exponent prime factors to calculate the LCM of 46364 and 46380.

LCM(46364,46380) = 2² × 67¹ × 173¹ × 3¹ × 5¹ × 773¹
LCM(46364,46380) = 537590580