GCF and LCM Calculator Logo

What is the Least Common Multiple of 65758 and 65765?

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 65758 and 65765 is 617796410.

LCM(65758,65765) = 617796410

LCM Calculator and
and

Least Common Multiple of 65758 and 65765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65758 and 65765, than apply into the LCM equation.

GCF(65758,65765) = 7
LCM(65758,65765) = ( 65758 × 65765) / 7
LCM(65758,65765) = 4324574870 / 7
LCM(65758,65765) = 617796410

Least Common Multiple (LCM) of 65758 and 65765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65758 and 65765. First we will calculate the prime factors of 65758 and 65765.

Prime Factorization of 65758

Prime factors of 65758 are 2, 7, 11, 61. Prime factorization of 65758 in exponential form is:

65758 = 21 × 72 × 111 × 611

Prime Factorization of 65765

Prime factors of 65765 are 5, 7, 1879. Prime factorization of 65765 in exponential form is:

65765 = 51 × 71 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 65758 and 65765.

LCM(65758,65765) = 21 × 72 × 111 × 611 × 51 × 18791
LCM(65758,65765) = 617796410