What is the Least Common Multiple of 68974 and 68989?

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 68974 and 68989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68974 and 68989, than apply into the LCM equation.

GCF(68974,68989) = 1
LCM(68974,68989) = ( 68974 × 68989) / 1
LCM(68974,68989) = 4758447286 / 1
LCM(68974,68989) = 4758447286

Least Common Multiple (LCM) of 68974 and 68989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68974 and 68989. First we will calculate the prime factors of 68974 and 68989.

Prime Factorization of 68974

Prime Factorization of 68989

Now multiplying the highest exponent prime factors to calculate the LCM of 68974 and 68989.

LCM(68974,68989) = 2¹ × 34487¹ × 19¹ × 3631¹
LCM(68974,68989) = 4758447286