GCF and LCM Calculator Logo

What is the Least Common Multiple of 77954 and 77962?

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 77954 and 77962 is 3038724874.

LCM(77954,77962) = 3038724874

LCM Calculator and
and

Least Common Multiple of 77954 and 77962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77954 and 77962, than apply into the LCM equation.

GCF(77954,77962) = 2
LCM(77954,77962) = ( 77954 × 77962) / 2
LCM(77954,77962) = 6077449748 / 2
LCM(77954,77962) = 3038724874

Least Common Multiple (LCM) of 77954 and 77962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77954 and 77962. First we will calculate the prime factors of 77954 and 77962.

Prime Factorization of 77954

Prime factors of 77954 are 2, 38977. Prime factorization of 77954 in exponential form is:

77954 = 21 × 389771

Prime Factorization of 77962

Prime factors of 77962 are 2, 17, 2293. Prime factorization of 77962 in exponential form is:

77962 = 21 × 171 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 77954 and 77962.

LCM(77954,77962) = 21 × 389771 × 171 × 22931
LCM(77954,77962) = 3038724874