What is the Least Common Multiple of 66759 and 66776?

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 66759 and 66776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66759 and 66776, than apply into the LCM equation.

GCF(66759,66776) = 17
LCM(66759,66776) = ( 66759 × 66776) / 17
LCM(66759,66776) = 4457898984 / 17
LCM(66759,66776) = 262229352

Least Common Multiple (LCM) of 66759 and 66776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66759 and 66776. First we will calculate the prime factors of 66759 and 66776.

Prime Factorization of 66759

Prime Factorization of 66776

Now multiplying the highest exponent prime factors to calculate the LCM of 66759 and 66776.

LCM(66759,66776) = 3¹ × 7¹ × 11¹ × 17² × 2³ × 491¹
LCM(66759,66776) = 262229352