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What is the Least Common Multiple of 35480 and 35490?

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 35480 and 35490 is 125918520.

LCM(35480,35490) = 125918520

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Least Common Multiple of 35480 and 35490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35480 and 35490, than apply into the LCM equation.

GCF(35480,35490) = 10
LCM(35480,35490) = ( 35480 × 35490) / 10
LCM(35480,35490) = 1259185200 / 10
LCM(35480,35490) = 125918520

Least Common Multiple (LCM) of 35480 and 35490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35480 and 35490. First we will calculate the prime factors of 35480 and 35490.

Prime Factorization of 35480

Prime factors of 35480 are 2, 5, 887. Prime factorization of 35480 in exponential form is:

35480 = 23 × 51 × 8871

Prime Factorization of 35490

Prime factors of 35490 are 2, 3, 5, 7, 13. Prime factorization of 35490 in exponential form is:

35490 = 21 × 31 × 51 × 71 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 35480 and 35490.

LCM(35480,35490) = 23 × 51 × 8871 × 31 × 71 × 132
LCM(35480,35490) = 125918520