What is the Least Common Multiple of 67752 and 67765?

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 67752 and 67765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67752 and 67765, than apply into the LCM equation.

GCF(67752,67765) = 1
LCM(67752,67765) = ( 67752 × 67765) / 1
LCM(67752,67765) = 4591214280 / 1
LCM(67752,67765) = 4591214280

Least Common Multiple (LCM) of 67752 and 67765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67752 and 67765. First we will calculate the prime factors of 67752 and 67765.

Prime Factorization of 67752

Prime Factorization of 67765

Now multiplying the highest exponent prime factors to calculate the LCM of 67752 and 67765.

LCM(67752,67765) = 2³ × 3² × 941¹ × 5¹ × 13553¹
LCM(67752,67765) = 4591214280