What is the Least Common Multiple of 81692 and 81700?

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 81692 and 81700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81692 and 81700, than apply into the LCM equation.

GCF(81692,81700) = 4
LCM(81692,81700) = ( 81692 × 81700) / 4
LCM(81692,81700) = 6674236400 / 4
LCM(81692,81700) = 1668559100

Least Common Multiple (LCM) of 81692 and 81700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81692 and 81700. First we will calculate the prime factors of 81692 and 81700.

Prime Factorization of 81692

Prime Factorization of 81700

Now multiplying the highest exponent prime factors to calculate the LCM of 81692 and 81700.

LCM(81692,81700) = 2² × 13¹ × 1571¹ × 5² × 19¹ × 43¹
LCM(81692,81700) = 1668559100