What is the Least Common Multiple of 40268 and 40277?
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 40268 and 40277 is 1621874236.
LCM(40268,40277) = 1621874236
Least Common Multiple of 40268 and 40277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40268 and 40277, than apply into the LCM equation.
GCF(40268,40277) = 1
LCM(40268,40277) = ( 40268 × 40277) / 1
LCM(40268,40277) = 1621874236 / 1
LCM(40268,40277) = 1621874236
Least Common Multiple (LCM) of 40268 and 40277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40268 and 40277. First we will calculate the prime factors of 40268 and 40277.
Prime Factorization of 40268
Prime factors of 40268 are 2, 10067. Prime factorization of 40268 in exponential form is:
40268 = 22 × 100671
Prime Factorization of 40277
Prime factors of 40277 are 40277. Prime factorization of 40277 in exponential form is:
40277 = 402771
Now multiplying the highest exponent prime factors to calculate the LCM of 40268 and 40277.
LCM(40268,40277) = 22 × 100671 × 402771
LCM(40268,40277) = 1621874236
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