What is the Least Common Multiple of 23430 and 23446?

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 23430 and 23446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23430 and 23446, than apply into the LCM equation.

GCF(23430,23446) = 2
LCM(23430,23446) = ( 23430 × 23446) / 2
LCM(23430,23446) = 549339780 / 2
LCM(23430,23446) = 274669890

Least Common Multiple (LCM) of 23430 and 23446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23430 and 23446. First we will calculate the prime factors of 23430 and 23446.

Prime Factorization of 23430

Prime Factorization of 23446

Now multiplying the highest exponent prime factors to calculate the LCM of 23430 and 23446.

LCM(23430,23446) = 2¹ × 3¹ × 5¹ × 11¹ × 71¹ × 19¹ × 617¹
LCM(23430,23446) = 274669890