What is the Least Common Multiple of 29270 and 29276?

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 29270 and 29276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29270 and 29276, than apply into the LCM equation.

GCF(29270,29276) = 2
LCM(29270,29276) = ( 29270 × 29276) / 2
LCM(29270,29276) = 856908520 / 2
LCM(29270,29276) = 428454260

Least Common Multiple (LCM) of 29270 and 29276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29270 and 29276. First we will calculate the prime factors of 29270 and 29276.

Prime Factorization of 29270

Prime Factorization of 29276

Now multiplying the highest exponent prime factors to calculate the LCM of 29270 and 29276.

LCM(29270,29276) = 2² × 5¹ × 2927¹ × 13¹ × 563¹
LCM(29270,29276) = 428454260