What is the Least Common Multiple of 67776 and 67788?

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 67776 and 67788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67776 and 67788, than apply into the LCM equation.

GCF(67776,67788) = 12
LCM(67776,67788) = ( 67776 × 67788) / 12
LCM(67776,67788) = 4594399488 / 12
LCM(67776,67788) = 382866624

Least Common Multiple (LCM) of 67776 and 67788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67776 and 67788. First we will calculate the prime factors of 67776 and 67788.

Prime Factorization of 67776

Prime Factorization of 67788

Now multiplying the highest exponent prime factors to calculate the LCM of 67776 and 67788.

LCM(67776,67788) = 2⁶ × 3² × 353¹ × 7¹ × 269¹
LCM(67776,67788) = 382866624