What is the Least Common Multiple of 21651 and 21670?

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 21651 and 21670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21651 and 21670, than apply into the LCM equation.

GCF(21651,21670) = 1
LCM(21651,21670) = ( 21651 × 21670) / 1
LCM(21651,21670) = 469177170 / 1
LCM(21651,21670) = 469177170

Least Common Multiple (LCM) of 21651 and 21670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21651 and 21670. First we will calculate the prime factors of 21651 and 21670.

Prime Factorization of 21651

Prime Factorization of 21670

Now multiplying the highest exponent prime factors to calculate the LCM of 21651 and 21670.

LCM(21651,21670) = 3¹ × 7¹ × 1031¹ × 2¹ × 5¹ × 11¹ × 197¹
LCM(21651,21670) = 469177170