What is the Least Common Multiple of 49042 and 49051?
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 49042 and 49051 is 2405559142.
LCM(49042,49051) = 2405559142
Least Common Multiple of 49042 and 49051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49042 and 49051, than apply into the LCM equation.
GCF(49042,49051) = 1
LCM(49042,49051) = ( 49042 × 49051) / 1
LCM(49042,49051) = 2405559142 / 1
LCM(49042,49051) = 2405559142
Least Common Multiple (LCM) of 49042 and 49051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49042 and 49051. First we will calculate the prime factors of 49042 and 49051.
Prime Factorization of 49042
Prime factors of 49042 are 2, 7, 31, 113. Prime factorization of 49042 in exponential form is:
49042 = 21 × 71 × 311 × 1131
Prime Factorization of 49051
Prime factors of 49051 are 181, 271. Prime factorization of 49051 in exponential form is:
49051 = 1811 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 49042 and 49051.
LCM(49042,49051) = 21 × 71 × 311 × 1131 × 1811 × 2711
LCM(49042,49051) = 2405559142
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