What is the Least Common Multiple of 21030 and 21034?

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 21030 and 21034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21030 and 21034, than apply into the LCM equation.

GCF(21030,21034) = 2
LCM(21030,21034) = ( 21030 × 21034) / 2
LCM(21030,21034) = 442345020 / 2
LCM(21030,21034) = 221172510

Least Common Multiple (LCM) of 21030 and 21034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21030 and 21034. First we will calculate the prime factors of 21030 and 21034.

Prime Factorization of 21030

Prime Factorization of 21034

Now multiplying the highest exponent prime factors to calculate the LCM of 21030 and 21034.

LCM(21030,21034) = 2¹ × 3¹ × 5¹ × 701¹ × 13¹ × 809¹
LCM(21030,21034) = 221172510