What is the Least Common Multiple of 36510 and 36519?

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 36510 and 36519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36510 and 36519, than apply into the LCM equation.

GCF(36510,36519) = 3
LCM(36510,36519) = ( 36510 × 36519) / 3
LCM(36510,36519) = 1333308690 / 3
LCM(36510,36519) = 444436230

Least Common Multiple (LCM) of 36510 and 36519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36510 and 36519. First we will calculate the prime factors of 36510 and 36519.

Prime Factorization of 36510

Prime Factorization of 36519

Now multiplying the highest exponent prime factors to calculate the LCM of 36510 and 36519.

LCM(36510,36519) = 2¹ × 3¹ × 5¹ × 1217¹ × 7¹ × 37¹ × 47¹
LCM(36510,36519) = 444436230