What is the Least Common Multiple of 86762 and 86776?

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 86762 and 86776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86762 and 86776, than apply into the LCM equation.

GCF(86762,86776) = 2
LCM(86762,86776) = ( 86762 × 86776) / 2
LCM(86762,86776) = 7528859312 / 2
LCM(86762,86776) = 3764429656

Least Common Multiple (LCM) of 86762 and 86776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86762 and 86776. First we will calculate the prime factors of 86762 and 86776.

Prime Factorization of 86762

Prime Factorization of 86776

Now multiplying the highest exponent prime factors to calculate the LCM of 86762 and 86776.

LCM(86762,86776) = 2³ × 13¹ × 47¹ × 71¹ × 10847¹
LCM(86762,86776) = 3764429656