What is the Least Common Multiple of 83974 and 83991?

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 83974 and 83991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83974 and 83991, than apply into the LCM equation.

GCF(83974,83991) = 1
LCM(83974,83991) = ( 83974 × 83991) / 1
LCM(83974,83991) = 7053060234 / 1
LCM(83974,83991) = 7053060234

Least Common Multiple (LCM) of 83974 and 83991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83974 and 83991. First we will calculate the prime factors of 83974 and 83991.

Prime Factorization of 83974

Prime Factorization of 83991

Now multiplying the highest exponent prime factors to calculate the LCM of 83974 and 83991.

LCM(83974,83991) = 2¹ × 11² × 347¹ × 3¹ × 27997¹
LCM(83974,83991) = 7053060234