What is the Least Common Multiple of 87045 and 87052?

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 87045 and 87052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87045 and 87052, than apply into the LCM equation.

GCF(87045,87052) = 7
LCM(87045,87052) = ( 87045 × 87052) / 7
LCM(87045,87052) = 7577441340 / 7
LCM(87045,87052) = 1082491620

Least Common Multiple (LCM) of 87045 and 87052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87045 and 87052. First we will calculate the prime factors of 87045 and 87052.

Prime Factorization of 87045

Prime Factorization of 87052

Now multiplying the highest exponent prime factors to calculate the LCM of 87045 and 87052.

LCM(87045,87052) = 3¹ × 5¹ × 7¹ × 829¹ × 2² × 3109¹
LCM(87045,87052) = 1082491620