What is the Least Common Multiple of 46620 and 46633?

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 46620 and 46633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46620 and 46633, than apply into the LCM equation.

GCF(46620,46633) = 1
LCM(46620,46633) = ( 46620 × 46633) / 1
LCM(46620,46633) = 2174030460 / 1
LCM(46620,46633) = 2174030460

Least Common Multiple (LCM) of 46620 and 46633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46620 and 46633. First we will calculate the prime factors of 46620 and 46633.

Prime Factorization of 46620

Prime Factorization of 46633

Now multiplying the highest exponent prime factors to calculate the LCM of 46620 and 46633.

LCM(46620,46633) = 2² × 3² × 5¹ × 7¹ × 37¹ × 46633¹
LCM(46620,46633) = 2174030460