What is the Least Common Multiple of 42103 and 42109?
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 42103 and 42109 is 1772915227.
LCM(42103,42109) = 1772915227
Least Common Multiple of 42103 and 42109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42103 and 42109, than apply into the LCM equation.
GCF(42103,42109) = 1
LCM(42103,42109) = ( 42103 × 42109) / 1
LCM(42103,42109) = 1772915227 / 1
LCM(42103,42109) = 1772915227
Least Common Multiple (LCM) of 42103 and 42109 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42103 and 42109. First we will calculate the prime factors of 42103 and 42109.
Prime Factorization of 42103
Prime factors of 42103 are 71, 593. Prime factorization of 42103 in exponential form is:
42103 = 711 × 5931
Prime Factorization of 42109
Prime factors of 42109 are 17, 2477. Prime factorization of 42109 in exponential form is:
42109 = 171 × 24771
Now multiplying the highest exponent prime factors to calculate the LCM of 42103 and 42109.
LCM(42103,42109) = 711 × 5931 × 171 × 24771
LCM(42103,42109) = 1772915227
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