What is the Least Common Multiple of 76648 and 76667?

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 76648 and 76667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76648 and 76667, than apply into the LCM equation.

GCF(76648,76667) = 1
LCM(76648,76667) = ( 76648 × 76667) / 1
LCM(76648,76667) = 5876372216 / 1
LCM(76648,76667) = 5876372216

Least Common Multiple (LCM) of 76648 and 76667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76648 and 76667. First we will calculate the prime factors of 76648 and 76667.

Prime Factorization of 76648

Prime Factorization of 76667

Now multiplying the highest exponent prime factors to calculate the LCM of 76648 and 76667.

LCM(76648,76667) = 2³ × 11¹ × 13¹ × 67¹ × 76667¹
LCM(76648,76667) = 5876372216