What is the Least Common Multiple of 87235 and 87251?

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 87235 and 87251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87235 and 87251, than apply into the LCM equation.

GCF(87235,87251) = 1
LCM(87235,87251) = ( 87235 × 87251) / 1
LCM(87235,87251) = 7611340985 / 1
LCM(87235,87251) = 7611340985

Least Common Multiple (LCM) of 87235 and 87251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87235 and 87251. First we will calculate the prime factors of 87235 and 87251.

Prime Factorization of 87235

Prime Factorization of 87251

Now multiplying the highest exponent prime factors to calculate the LCM of 87235 and 87251.

LCM(87235,87251) = 5¹ × 73¹ × 239¹ × 87251¹
LCM(87235,87251) = 7611340985