What is the Least Common Multiple of 87361 and 87379?

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 87361 and 87379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87361 and 87379, than apply into the LCM equation.

GCF(87361,87379) = 1
LCM(87361,87379) = ( 87361 × 87379) / 1
LCM(87361,87379) = 7633516819 / 1
LCM(87361,87379) = 7633516819

Least Common Multiple (LCM) of 87361 and 87379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87361 and 87379. First we will calculate the prime factors of 87361 and 87379.

Prime Factorization of 87361

Prime Factorization of 87379

Now multiplying the highest exponent prime factors to calculate the LCM of 87361 and 87379.

LCM(87361,87379) = 199¹ × 439¹ × 59¹ × 1481¹
LCM(87361,87379) = 7633516819