What is the Least Common Multiple of 71214 and 71229?

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 71214 and 71229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71214 and 71229, than apply into the LCM equation.

GCF(71214,71229) = 3
LCM(71214,71229) = ( 71214 × 71229) / 3
LCM(71214,71229) = 5072502006 / 3
LCM(71214,71229) = 1690834002

Least Common Multiple (LCM) of 71214 and 71229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71214 and 71229. First we will calculate the prime factors of 71214 and 71229.

Prime Factorization of 71214

Prime Factorization of 71229

Now multiplying the highest exponent prime factors to calculate the LCM of 71214 and 71229.

LCM(71214,71229) = 2¹ × 3¹ × 11¹ × 13¹ × 83¹ × 23743¹
LCM(71214,71229) = 1690834002