What is the Least Common Multiple of 47658 and 47672?

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 47658 and 47672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47658 and 47672, than apply into the LCM equation.

GCF(47658,47672) = 2
LCM(47658,47672) = ( 47658 × 47672) / 2
LCM(47658,47672) = 2271952176 / 2
LCM(47658,47672) = 1135976088

Least Common Multiple (LCM) of 47658 and 47672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47658 and 47672. First we will calculate the prime factors of 47658 and 47672.

Prime Factorization of 47658

Prime Factorization of 47672

Now multiplying the highest exponent prime factors to calculate the LCM of 47658 and 47672.

LCM(47658,47672) = 2³ × 3¹ × 13² × 47¹ × 59¹ × 101¹
LCM(47658,47672) = 1135976088