What is the Least Common Multiple of 71974 and 71981?

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 71974 and 71981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71974 and 71981, than apply into the LCM equation.

GCF(71974,71981) = 7
LCM(71974,71981) = ( 71974 × 71981) / 7
LCM(71974,71981) = 5180760494 / 7
LCM(71974,71981) = 740108642

Least Common Multiple (LCM) of 71974 and 71981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71974 and 71981. First we will calculate the prime factors of 71974 and 71981.

Prime Factorization of 71974

Prime Factorization of 71981

Now multiplying the highest exponent prime factors to calculate the LCM of 71974 and 71981.

LCM(71974,71981) = 2¹ × 7² × 53¹ × 97¹ × 13¹ × 113¹
LCM(71974,71981) = 740108642