What is the Least Common Multiple of 54742 and 54754?
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 54742 and 54754 is 1498671734.
LCM(54742,54754) = 1498671734
Least Common Multiple of 54742 and 54754 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54742 and 54754, than apply into the LCM equation.
GCF(54742,54754) = 2
LCM(54742,54754) = ( 54742 × 54754) / 2
LCM(54742,54754) = 2997343468 / 2
LCM(54742,54754) = 1498671734
Least Common Multiple (LCM) of 54742 and 54754 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54742 and 54754. First we will calculate the prime factors of 54742 and 54754.
Prime Factorization of 54742
Prime factors of 54742 are 2, 101, 271. Prime factorization of 54742 in exponential form is:
54742 = 21 × 1011 × 2711
Prime Factorization of 54754
Prime factors of 54754 are 2, 7, 3911. Prime factorization of 54754 in exponential form is:
54754 = 21 × 71 × 39111
Now multiplying the highest exponent prime factors to calculate the LCM of 54742 and 54754.
LCM(54742,54754) = 21 × 1011 × 2711 × 71 × 39111
LCM(54742,54754) = 1498671734
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