What is the Least Common Multiple of 67416 and 67434?

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 67416 and 67434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67416 and 67434, than apply into the LCM equation.

GCF(67416,67434) = 6
LCM(67416,67434) = ( 67416 × 67434) / 6
LCM(67416,67434) = 4546130544 / 6
LCM(67416,67434) = 757688424

Least Common Multiple (LCM) of 67416 and 67434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67416 and 67434. First we will calculate the prime factors of 67416 and 67434.

Prime Factorization of 67416

Prime Factorization of 67434

Now multiplying the highest exponent prime factors to calculate the LCM of 67416 and 67434.

LCM(67416,67434) = 2³ × 3¹ × 53² × 11239¹
LCM(67416,67434) = 757688424