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What is the Least Common Multiple of 29738 and 29758?

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 29738 and 29758 is 442471702.

LCM(29738,29758) = 442471702

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Least Common Multiple of 29738 and 29758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29738 and 29758, than apply into the LCM equation.

GCF(29738,29758) = 2
LCM(29738,29758) = ( 29738 × 29758) / 2
LCM(29738,29758) = 884943404 / 2
LCM(29738,29758) = 442471702

Least Common Multiple (LCM) of 29738 and 29758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29738 and 29758. First we will calculate the prime factors of 29738 and 29758.

Prime Factorization of 29738

Prime factors of 29738 are 2, 14869. Prime factorization of 29738 in exponential form is:

29738 = 21 × 148691

Prime Factorization of 29758

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

29758 = 21 × 148791

Now multiplying the highest exponent prime factors to calculate the LCM of 29738 and 29758.

LCM(29738,29758) = 21 × 148691 × 148791
LCM(29738,29758) = 442471702