What is the Least Common Multiple of 67974 and 67980?

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 67974 and 67980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67974 and 67980, than apply into the LCM equation.

GCF(67974,67980) = 6
LCM(67974,67980) = ( 67974 × 67980) / 6
LCM(67974,67980) = 4620872520 / 6
LCM(67974,67980) = 770145420

Least Common Multiple (LCM) of 67974 and 67980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67974 and 67980. First we will calculate the prime factors of 67974 and 67980.

Prime Factorization of 67974

Prime Factorization of 67980

Now multiplying the highest exponent prime factors to calculate the LCM of 67974 and 67980.

LCM(67974,67980) = 2² × 3¹ × 11329¹ × 5¹ × 11¹ × 103¹
LCM(67974,67980) = 770145420