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What is the Least Common Multiple of 2070 and 2076?

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 2070 and 2076 is 716220.

LCM(2070,2076) = 716220

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Least Common Multiple of 2070 and 2076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2070 and 2076, than apply into the LCM equation.

GCF(2070,2076) = 6
LCM(2070,2076) = ( 2070 × 2076) / 6
LCM(2070,2076) = 4297320 / 6
LCM(2070,2076) = 716220

Least Common Multiple (LCM) of 2070 and 2076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2070 and 2076. First we will calculate the prime factors of 2070 and 2076.

Prime Factorization of 2070

Prime factors of 2070 are 2, 3, 5, 23. Prime factorization of 2070 in exponential form is:

2070 = 21 × 32 × 51 × 231

Prime Factorization of 2076

Prime factors of 2076 are 2, 3, 173. Prime factorization of 2076 in exponential form is:

2076 = 22 × 31 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2070 and 2076.

LCM(2070,2076) = 22 × 32 × 51 × 231 × 1731
LCM(2070,2076) = 716220