What is the Least Common Multiple of 40111 and 40123?
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 40111 and 40123 is 1609373653.
LCM(40111,40123) = 1609373653
Least Common Multiple of 40111 and 40123 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40111 and 40123, than apply into the LCM equation.
GCF(40111,40123) = 1
LCM(40111,40123) = ( 40111 × 40123) / 1
LCM(40111,40123) = 1609373653 / 1
LCM(40111,40123) = 1609373653
Least Common Multiple (LCM) of 40111 and 40123 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40111 and 40123. First we will calculate the prime factors of 40111 and 40123.
Prime Factorization of 40111
Prime factors of 40111 are 40111. Prime factorization of 40111 in exponential form is:
40111 = 401111
Prime Factorization of 40123
Prime factors of 40123 are 40123. Prime factorization of 40123 in exponential form is:
40123 = 401231
Now multiplying the highest exponent prime factors to calculate the LCM of 40111 and 40123.
LCM(40111,40123) = 401111 × 401231
LCM(40111,40123) = 1609373653
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