What is the Least Common Multiple of 46974 and 46978?

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 46978 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 46978, than apply into the LCM equation.

GCF(46974,46978) = 2
LCM(46974,46978) = ( 46974 × 46978) / 2
LCM(46974,46978) = 2206744572 / 2
LCM(46974,46978) = 1103372286

Least Common Multiple (LCM) of 46974 and 46978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46974 and 46978. First we will calculate the prime factors of 46974 and 46978.

Prime Factorization of 46974

Prime Factorization of 46978

Now multiplying the highest exponent prime factors to calculate the LCM of 46974 and 46978.

LCM(46974,46978) = 2¹ × 3¹ × 7829¹ × 83¹ × 283¹
LCM(46974,46978) = 1103372286