What is the Least Common Multiple of 54610 and 54622?
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 54610 and 54622 is 1491453710.
LCM(54610,54622) = 1491453710
Least Common Multiple of 54610 and 54622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54610 and 54622, than apply into the LCM equation.
GCF(54610,54622) = 2
LCM(54610,54622) = ( 54610 × 54622) / 2
LCM(54610,54622) = 2982907420 / 2
LCM(54610,54622) = 1491453710
Least Common Multiple (LCM) of 54610 and 54622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54610 and 54622. First we will calculate the prime factors of 54610 and 54622.
Prime Factorization of 54610
Prime factors of 54610 are 2, 5, 43, 127. Prime factorization of 54610 in exponential form is:
54610 = 21 × 51 × 431 × 1271
Prime Factorization of 54622
Prime factors of 54622 are 2, 31, 881. Prime factorization of 54622 in exponential form is:
54622 = 21 × 311 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 54610 and 54622.
LCM(54610,54622) = 21 × 51 × 431 × 1271 × 311 × 8811
LCM(54610,54622) = 1491453710
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