What is the Least Common Multiple of 49018 and 49027?
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 49018 and 49027 is 2403205486.
LCM(49018,49027) = 2403205486
Least Common Multiple of 49018 and 49027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49018 and 49027, than apply into the LCM equation.
GCF(49018,49027) = 1
LCM(49018,49027) = ( 49018 × 49027) / 1
LCM(49018,49027) = 2403205486 / 1
LCM(49018,49027) = 2403205486
Least Common Multiple (LCM) of 49018 and 49027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49018 and 49027. First we will calculate the prime factors of 49018 and 49027.
Prime Factorization of 49018
Prime factors of 49018 are 2, 24509. Prime factorization of 49018 in exponential form is:
49018 = 21 × 245091
Prime Factorization of 49027
Prime factors of 49027 are 11, 4457. Prime factorization of 49027 in exponential form is:
49027 = 111 × 44571
Now multiplying the highest exponent prime factors to calculate the LCM of 49018 and 49027.
LCM(49018,49027) = 21 × 245091 × 111 × 44571
LCM(49018,49027) = 2403205486
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