GCF and LCM Calculator Logo

What is the Least Common Multiple of 77062 and 77077?

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 77062 and 77077 is 5939707774.

LCM(77062,77077) = 5939707774

LCM Calculator and
and

Least Common Multiple of 77062 and 77077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77062 and 77077, than apply into the LCM equation.

GCF(77062,77077) = 1
LCM(77062,77077) = ( 77062 × 77077) / 1
LCM(77062,77077) = 5939707774 / 1
LCM(77062,77077) = 5939707774

Least Common Multiple (LCM) of 77062 and 77077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77062 and 77077. First we will calculate the prime factors of 77062 and 77077.

Prime Factorization of 77062

Prime factors of 77062 are 2, 53, 727. Prime factorization of 77062 in exponential form is:

77062 = 21 × 531 × 7271

Prime Factorization of 77077

Prime factors of 77077 are 7, 11, 13. Prime factorization of 77077 in exponential form is:

77077 = 72 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 77062 and 77077.

LCM(77062,77077) = 21 × 531 × 7271 × 72 × 112 × 131
LCM(77062,77077) = 5939707774