What is the Least Common Multiple of 68652 and 68672?

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 68652 and 68672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68652 and 68672, than apply into the LCM equation.

GCF(68652,68672) = 4
LCM(68652,68672) = ( 68652 × 68672) / 4
LCM(68652,68672) = 4714470144 / 4
LCM(68652,68672) = 1178617536

Least Common Multiple (LCM) of 68652 and 68672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68652 and 68672. First we will calculate the prime factors of 68652 and 68672.

Prime Factorization of 68652

Prime Factorization of 68672

Now multiplying the highest exponent prime factors to calculate the LCM of 68652 and 68672.

LCM(68652,68672) = 2⁶ × 3² × 1907¹ × 29¹ × 37¹
LCM(68652,68672) = 1178617536