What is the Least Common Multiple of 21510 and 21516?

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 21510 and 21516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21510 and 21516, than apply into the LCM equation.

GCF(21510,21516) = 6
LCM(21510,21516) = ( 21510 × 21516) / 6
LCM(21510,21516) = 462809160 / 6
LCM(21510,21516) = 77134860

Least Common Multiple (LCM) of 21510 and 21516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21510 and 21516. First we will calculate the prime factors of 21510 and 21516.

Prime Factorization of 21510

Prime Factorization of 21516

Now multiplying the highest exponent prime factors to calculate the LCM of 21510 and 21516.

LCM(21510,21516) = 2² × 3² × 5¹ × 239¹ × 11¹ × 163¹
LCM(21510,21516) = 77134860