What is the Least Common Multiple of 87282 and 87290?

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 87282 and 87290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87282 and 87290, than apply into the LCM equation.

GCF(87282,87290) = 2
LCM(87282,87290) = ( 87282 × 87290) / 2
LCM(87282,87290) = 7618845780 / 2
LCM(87282,87290) = 3809422890

Least Common Multiple (LCM) of 87282 and 87290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87282 and 87290. First we will calculate the prime factors of 87282 and 87290.

Prime Factorization of 87282

Prime Factorization of 87290

Now multiplying the highest exponent prime factors to calculate the LCM of 87282 and 87290.

LCM(87282,87290) = 2¹ × 3² × 13¹ × 373¹ × 5¹ × 7¹ × 29¹ × 43¹
LCM(87282,87290) = 3809422890