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What is the Least Common Multiple of 1202 and 1209?

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 1202 and 1209 is 1453218.

LCM(1202,1209) = 1453218

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Least Common Multiple of 1202 and 1209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1202 and 1209, than apply into the LCM equation.

GCF(1202,1209) = 1
LCM(1202,1209) = ( 1202 × 1209) / 1
LCM(1202,1209) = 1453218 / 1
LCM(1202,1209) = 1453218

Least Common Multiple (LCM) of 1202 and 1209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1202 and 1209. First we will calculate the prime factors of 1202 and 1209.

Prime Factorization of 1202

Prime factors of 1202 are 2, 601. Prime factorization of 1202 in exponential form is:

1202 = 21 × 6011

Prime Factorization of 1209

Prime factors of 1209 are 3, 13, 31. Prime factorization of 1209 in exponential form is:

1209 = 31 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 1202 and 1209.

LCM(1202,1209) = 21 × 6011 × 31 × 131 × 311
LCM(1202,1209) = 1453218