What is the Least Common Multiple of 67648 and 67652?

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 67648 and 67652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67648 and 67652, than apply into the LCM equation.

GCF(67648,67652) = 4
LCM(67648,67652) = ( 67648 × 67652) / 4
LCM(67648,67652) = 4576522496 / 4
LCM(67648,67652) = 1144130624

Least Common Multiple (LCM) of 67648 and 67652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67648 and 67652. First we will calculate the prime factors of 67648 and 67652.

Prime Factorization of 67648

Prime Factorization of 67652

Now multiplying the highest exponent prime factors to calculate the LCM of 67648 and 67652.

LCM(67648,67652) = 2⁶ × 7¹ × 151¹ × 13¹ × 1301¹
LCM(67648,67652) = 1144130624