What is the Least Common Multiple of 99078 and 99085?

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 99078 and 99085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99078 and 99085, than apply into the LCM equation.

GCF(99078,99085) = 7
LCM(99078,99085) = ( 99078 × 99085) / 7
LCM(99078,99085) = 9817143630 / 7
LCM(99078,99085) = 1402449090

Least Common Multiple (LCM) of 99078 and 99085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99078 and 99085. First we will calculate the prime factors of 99078 and 99085.

Prime Factorization of 99078

Prime Factorization of 99085

Now multiplying the highest exponent prime factors to calculate the LCM of 99078 and 99085.

LCM(99078,99085) = 2¹ × 3¹ × 7² × 337¹ × 5¹ × 19¹ × 149¹
LCM(99078,99085) = 1402449090