What is the Least Common Multiple of 23190 and 23198?

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 23190 and 23198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23190 and 23198, than apply into the LCM equation.

GCF(23190,23198) = 2
LCM(23190,23198) = ( 23190 × 23198) / 2
LCM(23190,23198) = 537961620 / 2
LCM(23190,23198) = 268980810

Least Common Multiple (LCM) of 23190 and 23198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23190 and 23198. First we will calculate the prime factors of 23190 and 23198.

Prime Factorization of 23190

Prime Factorization of 23198

Now multiplying the highest exponent prime factors to calculate the LCM of 23190 and 23198.

LCM(23190,23198) = 2¹ × 3¹ × 5¹ × 773¹ × 7¹ × 1657¹
LCM(23190,23198) = 268980810