What is the Least Common Multiple of 81596 and 81614?

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 81596 and 81614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81596 and 81614, than apply into the LCM equation.

GCF(81596,81614) = 2
LCM(81596,81614) = ( 81596 × 81614) / 2
LCM(81596,81614) = 6659375944 / 2
LCM(81596,81614) = 3329687972

Least Common Multiple (LCM) of 81596 and 81614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81596 and 81614. First we will calculate the prime factors of 81596 and 81614.

Prime Factorization of 81596

Prime Factorization of 81614

Now multiplying the highest exponent prime factors to calculate the LCM of 81596 and 81614.

LCM(81596,81614) = 2² × 20399¹ × 13¹ × 43¹ × 73¹
LCM(81596,81614) = 3329687972