What is the Least Common Multiple of 66430 and 66438?

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 66430 and 66438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66430 and 66438, than apply into the LCM equation.

GCF(66430,66438) = 2
LCM(66430,66438) = ( 66430 × 66438) / 2
LCM(66430,66438) = 4413476340 / 2
LCM(66430,66438) = 2206738170

Least Common Multiple (LCM) of 66430 and 66438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66430 and 66438. First we will calculate the prime factors of 66430 and 66438.

Prime Factorization of 66430

Prime Factorization of 66438

Now multiplying the highest exponent prime factors to calculate the LCM of 66430 and 66438.

LCM(66430,66438) = 2¹ × 5¹ × 7¹ × 13¹ × 73¹ × 3² × 3691¹
LCM(66430,66438) = 2206738170