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What is the Least Common Multiple of 30980 and 30988?

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 30980 and 30988 is 240002060.

LCM(30980,30988) = 240002060

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Least Common Multiple of 30980 and 30988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30980 and 30988, than apply into the LCM equation.

GCF(30980,30988) = 4
LCM(30980,30988) = ( 30980 × 30988) / 4
LCM(30980,30988) = 960008240 / 4
LCM(30980,30988) = 240002060

Least Common Multiple (LCM) of 30980 and 30988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30980 and 30988. First we will calculate the prime factors of 30980 and 30988.

Prime Factorization of 30980

Prime factors of 30980 are 2, 5, 1549. Prime factorization of 30980 in exponential form is:

30980 = 22 × 51 × 15491

Prime Factorization of 30988

Prime factors of 30988 are 2, 61, 127. Prime factorization of 30988 in exponential form is:

30988 = 22 × 611 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 30980 and 30988.

LCM(30980,30988) = 22 × 51 × 15491 × 611 × 1271
LCM(30980,30988) = 240002060