What is the Least Common Multiple of 47458 and 47468?

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 47458 and 47468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47458 and 47468, than apply into the LCM equation.

GCF(47458,47468) = 2
LCM(47458,47468) = ( 47458 × 47468) / 2
LCM(47458,47468) = 2252736344 / 2
LCM(47458,47468) = 1126368172

Least Common Multiple (LCM) of 47458 and 47468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47458 and 47468. First we will calculate the prime factors of 47458 and 47468.

Prime Factorization of 47458

Prime Factorization of 47468

Now multiplying the highest exponent prime factors to calculate the LCM of 47458 and 47468.

LCM(47458,47468) = 2² × 61¹ × 389¹ × 11867¹
LCM(47458,47468) = 1126368172