What is the Least Common Multiple of 46974 and 46992?

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 46974 and 46992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46974 and 46992, than apply into the LCM equation.

GCF(46974,46992) = 6
LCM(46974,46992) = ( 46974 × 46992) / 6
LCM(46974,46992) = 2207402208 / 6
LCM(46974,46992) = 367900368

Least Common Multiple (LCM) of 46974 and 46992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46974 and 46992. First we will calculate the prime factors of 46974 and 46992.

Prime Factorization of 46974

Prime Factorization of 46992

Now multiplying the highest exponent prime factors to calculate the LCM of 46974 and 46992.

LCM(46974,46992) = 2⁴ × 3¹ × 7829¹ × 11¹ × 89¹
LCM(46974,46992) = 367900368