GCF and LCM Calculator Logo

What is the Least Common Multiple of 66763 and 66777?

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 (LCM) of 66763 and 66777 is 4458232851.

LCM(66763,66777) = 4458232851

LCM Calculator and
and

Least Common Multiple of 66763 and 66777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66763 and 66777, than apply into the LCM equation.

GCF(66763,66777) = 1
LCM(66763,66777) = ( 66763 × 66777) / 1
LCM(66763,66777) = 4458232851 / 1
LCM(66763,66777) = 4458232851

Least Common Multiple (LCM) of 66763 and 66777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66763 and 66777. First we will calculate the prime factors of 66763 and 66777.

Prime Factorization of 66763

Prime factors of 66763 are 66763. Prime factorization of 66763 in exponential form is:

66763 = 667631

Prime Factorization of 66777

Prime factors of 66777 are 3, 22259. Prime factorization of 66777 in exponential form is:

66777 = 31 × 222591

Now multiplying the highest exponent prime factors to calculate the LCM of 66763 and 66777.

LCM(66763,66777) = 667631 × 31 × 222591
LCM(66763,66777) = 4458232851