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What is the Least Common Multiple of 902 and 922?

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 902 and 922 is 415822.

LCM(902,922) = 415822

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Least Common Multiple of 902 and 922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 902 and 922, than apply into the LCM equation.

GCF(902,922) = 2
LCM(902,922) = ( 902 × 922) / 2
LCM(902,922) = 831644 / 2
LCM(902,922) = 415822

Least Common Multiple (LCM) of 902 and 922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 902 and 922. First we will calculate the prime factors of 902 and 922.

Prime Factorization of 902

Prime factors of 902 are 2, 11, 41. Prime factorization of 902 in exponential form is:

902 = 21 × 111 × 411

Prime Factorization of 922

Prime factors of 922 are 2, 461. Prime factorization of 922 in exponential form is:

922 = 21 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 902 and 922.

LCM(902,922) = 21 × 111 × 411 × 4611
LCM(902,922) = 415822