What is the Least Common Multiple of 67614 and 67632?

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 67614 and 67632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67614 and 67632, than apply into the LCM equation.

GCF(67614,67632) = 6
LCM(67614,67632) = ( 67614 × 67632) / 6
LCM(67614,67632) = 4572870048 / 6
LCM(67614,67632) = 762145008

Least Common Multiple (LCM) of 67614 and 67632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67614 and 67632. First we will calculate the prime factors of 67614 and 67632.

Prime Factorization of 67614

Prime Factorization of 67632

Now multiplying the highest exponent prime factors to calculate the LCM of 67614 and 67632.

LCM(67614,67632) = 2⁴ × 3¹ × 59¹ × 191¹ × 1409¹
LCM(67614,67632) = 762145008