What is the Least Common Multiple of 381 and 400?
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 381 and 400 is 152400.
LCM(381,400) = 152400
Least Common Multiple of 381 and 400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 381 and 400, than apply into the LCM equation.
GCF(381,400) = 1
LCM(381,400) = ( 381 × 400) / 1
LCM(381,400) = 152400 / 1
LCM(381,400) = 152400
Least Common Multiple (LCM) of 381 and 400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 381 and 400. First we will calculate the prime factors of 381 and 400.
Prime Factorization of 381
Prime factors of 381 are 3, 127. Prime factorization of 381 in exponential form is:
381 = 31 × 1271
Prime Factorization of 400
Prime factors of 400 are 2, 5. Prime factorization of 400 in exponential form is:
400 = 24 × 52
Now multiplying the highest exponent prime factors to calculate the LCM of 381 and 400.
LCM(381,400) = 31 × 1271 × 24 × 52
LCM(381,400) = 152400
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