What is the Least Common Multiple of 67974 and 67984?

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 67984 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 67984, than apply into the LCM equation.

GCF(67974,67984) = 2
LCM(67974,67984) = ( 67974 × 67984) / 2
LCM(67974,67984) = 4621144416 / 2
LCM(67974,67984) = 2310572208

Least Common Multiple (LCM) of 67974 and 67984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67974 and 67984. First we will calculate the prime factors of 67974 and 67984.

Prime Factorization of 67974

Prime Factorization of 67984

Now multiplying the highest exponent prime factors to calculate the LCM of 67974 and 67984.

LCM(67974,67984) = 2⁴ × 3¹ × 11329¹ × 7¹ × 607¹
LCM(67974,67984) = 2310572208