What is the Least Common Multiple of 40137 and 40143?
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 40137 and 40143 is 537073197.
LCM(40137,40143) = 537073197
Least Common Multiple of 40137 and 40143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40137 and 40143, than apply into the LCM equation.
GCF(40137,40143) = 3
LCM(40137,40143) = ( 40137 × 40143) / 3
LCM(40137,40143) = 1611219591 / 3
LCM(40137,40143) = 537073197
Least Common Multiple (LCM) of 40137 and 40143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40137 and 40143. First we will calculate the prime factors of 40137 and 40143.
Prime Factorization of 40137
Prime factors of 40137 are 3, 17, 787. Prime factorization of 40137 in exponential form is:
40137 = 31 × 171 × 7871
Prime Factorization of 40143
Prime factors of 40143 are 3, 13381. Prime factorization of 40143 in exponential form is:
40143 = 31 × 133811
Now multiplying the highest exponent prime factors to calculate the LCM of 40137 and 40143.
LCM(40137,40143) = 31 × 171 × 7871 × 133811
LCM(40137,40143) = 537073197
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