What is the Least Common Multiple of 71692 and 71710?

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 71692 and 71710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71692 and 71710, than apply into the LCM equation.

GCF(71692,71710) = 2
LCM(71692,71710) = ( 71692 × 71710) / 2
LCM(71692,71710) = 5141033320 / 2
LCM(71692,71710) = 2570516660

Least Common Multiple (LCM) of 71692 and 71710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71692 and 71710. First we will calculate the prime factors of 71692 and 71710.

Prime Factorization of 71692

Prime Factorization of 71710

Now multiplying the highest exponent prime factors to calculate the LCM of 71692 and 71710.

LCM(71692,71710) = 2² × 17923¹ × 5¹ × 71¹ × 101¹
LCM(71692,71710) = 2570516660