What is the Least Common Multiple of 34614 and 34624?

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 34614 and 34624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34614 and 34624, than apply into the LCM equation.

GCF(34614,34624) = 2
LCM(34614,34624) = ( 34614 × 34624) / 2
LCM(34614,34624) = 1198475136 / 2
LCM(34614,34624) = 599237568

Least Common Multiple (LCM) of 34614 and 34624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34614 and 34624. First we will calculate the prime factors of 34614 and 34624.

Prime Factorization of 34614

Prime Factorization of 34624

Now multiplying the highest exponent prime factors to calculate the LCM of 34614 and 34624.

LCM(34614,34624) = 2⁶ × 3³ × 641¹ × 541¹
LCM(34614,34624) = 599237568