What is the Least Common Multiple of 67641 and 67648?

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 67641 and 67648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67641 and 67648, than apply into the LCM equation.

GCF(67641,67648) = 7
LCM(67641,67648) = ( 67641 × 67648) / 7
LCM(67641,67648) = 4575778368 / 7
LCM(67641,67648) = 653682624

Least Common Multiple (LCM) of 67641 and 67648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67641 and 67648. First we will calculate the prime factors of 67641 and 67648.

Prime Factorization of 67641

Prime Factorization of 67648

Now multiplying the highest exponent prime factors to calculate the LCM of 67641 and 67648.

LCM(67641,67648) = 3¹ × 7¹ × 3221¹ × 2⁶ × 151¹
LCM(67641,67648) = 653682624