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What is the Least Common Multiple of 781 and 790?

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 781 and 790 is 616990.

LCM(781,790) = 616990

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Least Common Multiple of 781 and 790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 781 and 790, than apply into the LCM equation.

GCF(781,790) = 1
LCM(781,790) = ( 781 × 790) / 1
LCM(781,790) = 616990 / 1
LCM(781,790) = 616990

Least Common Multiple (LCM) of 781 and 790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 781 and 790. First we will calculate the prime factors of 781 and 790.

Prime Factorization of 781

Prime factors of 781 are 11, 71. Prime factorization of 781 in exponential form is:

781 = 111 × 711

Prime Factorization of 790

Prime factors of 790 are 2, 5, 79. Prime factorization of 790 in exponential form is:

790 = 21 × 51 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 781 and 790.

LCM(781,790) = 111 × 711 × 21 × 51 × 791
LCM(781,790) = 616990