GCF and LCM Calculator Logo

What is the Least Common Multiple of 94761 and 94765?

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 94761 and 94765 is 8980026165.

LCM(94761,94765) = 8980026165

LCM Calculator and
and

Least Common Multiple of 94761 and 94765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94761 and 94765, than apply into the LCM equation.

GCF(94761,94765) = 1
LCM(94761,94765) = ( 94761 × 94765) / 1
LCM(94761,94765) = 8980026165 / 1
LCM(94761,94765) = 8980026165

Least Common Multiple (LCM) of 94761 and 94765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94761 and 94765. First we will calculate the prime factors of 94761 and 94765.

Prime Factorization of 94761

Prime factors of 94761 are 3, 10529. Prime factorization of 94761 in exponential form is:

94761 = 32 × 105291

Prime Factorization of 94765

Prime factors of 94765 are 5, 11, 1723. Prime factorization of 94765 in exponential form is:

94765 = 51 × 111 × 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 94761 and 94765.

LCM(94761,94765) = 32 × 105291 × 51 × 111 × 17231
LCM(94761,94765) = 8980026165