What is the Least Common Multiple of 46980 and 46998?

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 46980 and 46998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46980 and 46998, than apply into the LCM equation.

GCF(46980,46998) = 18
LCM(46980,46998) = ( 46980 × 46998) / 18
LCM(46980,46998) = 2207966040 / 18
LCM(46980,46998) = 122664780

Least Common Multiple (LCM) of 46980 and 46998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46980 and 46998. First we will calculate the prime factors of 46980 and 46998.

Prime Factorization of 46980

Prime Factorization of 46998

Now multiplying the highest exponent prime factors to calculate the LCM of 46980 and 46998.

LCM(46980,46998) = 2² × 3⁴ × 5¹ × 29¹ × 7¹ × 373¹
LCM(46980,46998) = 122664780