What is the Least Common Multiple of 67554 and 67567?

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 67554 and 67567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67554 and 67567, than apply into the LCM equation.

GCF(67554,67567) = 1
LCM(67554,67567) = ( 67554 × 67567) / 1
LCM(67554,67567) = 4564421118 / 1
LCM(67554,67567) = 4564421118

Least Common Multiple (LCM) of 67554 and 67567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67554 and 67567. First we will calculate the prime factors of 67554 and 67567.

Prime Factorization of 67554

Prime Factorization of 67567

Now multiplying the highest exponent prime factors to calculate the LCM of 67554 and 67567.

LCM(67554,67567) = 2¹ × 3⁵ × 139¹ × 67567¹
LCM(67554,67567) = 4564421118