What is the Least Common Multiple of 382 and 402?
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 382 and 402 is 76782.
LCM(382,402) = 76782
Least Common Multiple of 382 and 402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 382 and 402, than apply into the LCM equation.
GCF(382,402) = 2
LCM(382,402) = ( 382 × 402) / 2
LCM(382,402) = 153564 / 2
LCM(382,402) = 76782
Least Common Multiple (LCM) of 382 and 402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 382 and 402. First we will calculate the prime factors of 382 and 402.
Prime Factorization of 382
Prime factors of 382 are 2, 191. Prime factorization of 382 in exponential form is:
382 = 21 × 1911
Prime Factorization of 402
Prime factors of 402 are 2, 3, 67. Prime factorization of 402 in exponential form is:
402 = 21 × 31 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 382 and 402.
LCM(382,402) = 21 × 1911 × 31 × 671
LCM(382,402) = 76782
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