What is the Least Common Multiple of 67560 and 67572?

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 67560 and 67572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67560 and 67572, than apply into the LCM equation.

GCF(67560,67572) = 12
LCM(67560,67572) = ( 67560 × 67572) / 12
LCM(67560,67572) = 4565164320 / 12
LCM(67560,67572) = 380430360

Least Common Multiple (LCM) of 67560 and 67572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67560 and 67572. First we will calculate the prime factors of 67560 and 67572.

Prime Factorization of 67560

Prime Factorization of 67572

Now multiplying the highest exponent prime factors to calculate the LCM of 67560 and 67572.

LCM(67560,67572) = 2³ × 3² × 5¹ × 563¹ × 1877¹
LCM(67560,67572) = 380430360