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What is the Least Common Multiple of 29758 and 29768?

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 29758 and 29768 is 442918072.

LCM(29758,29768) = 442918072

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Least Common Multiple of 29758 and 29768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29758 and 29768, than apply into the LCM equation.

GCF(29758,29768) = 2
LCM(29758,29768) = ( 29758 × 29768) / 2
LCM(29758,29768) = 885836144 / 2
LCM(29758,29768) = 442918072

Least Common Multiple (LCM) of 29758 and 29768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29758 and 29768. First we will calculate the prime factors of 29758 and 29768.

Prime Factorization of 29758

Prime factors of 29758 are 2, 14879. Prime factorization of 29758 in exponential form is:

29758 = 21 × 148791

Prime Factorization of 29768

Prime factors of 29768 are 2, 61. Prime factorization of 29768 in exponential form is:

29768 = 23 × 612

Now multiplying the highest exponent prime factors to calculate the LCM of 29758 and 29768.

LCM(29758,29768) = 23 × 148791 × 612
LCM(29758,29768) = 442918072