What is the Least Common Multiple of 69420 and 69434?

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 69420 and 69434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69420 and 69434, than apply into the LCM equation.

GCF(69420,69434) = 2
LCM(69420,69434) = ( 69420 × 69434) / 2
LCM(69420,69434) = 4820108280 / 2
LCM(69420,69434) = 2410054140

Least Common Multiple (LCM) of 69420 and 69434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69420 and 69434. First we will calculate the prime factors of 69420 and 69434.

Prime Factorization of 69420

Prime Factorization of 69434

Now multiplying the highest exponent prime factors to calculate the LCM of 69420 and 69434.

LCM(69420,69434) = 2² × 3¹ × 5¹ × 13¹ × 89¹ × 149¹ × 233¹
LCM(69420,69434) = 2410054140