What is the Least Common Multiple of 49037 and 49046?
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 49037 and 49046 is 2405068702.
LCM(49037,49046) = 2405068702
Least Common Multiple of 49037 and 49046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49037 and 49046, than apply into the LCM equation.
GCF(49037,49046) = 1
LCM(49037,49046) = ( 49037 × 49046) / 1
LCM(49037,49046) = 2405068702 / 1
LCM(49037,49046) = 2405068702
Least Common Multiple (LCM) of 49037 and 49046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49037 and 49046. First we will calculate the prime factors of 49037 and 49046.
Prime Factorization of 49037
Prime factors of 49037 are 49037. Prime factorization of 49037 in exponential form is:
49037 = 490371
Prime Factorization of 49046
Prime factors of 49046 are 2, 137, 179. Prime factorization of 49046 in exponential form is:
49046 = 21 × 1371 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 49037 and 49046.
LCM(49037,49046) = 490371 × 21 × 1371 × 1791
LCM(49037,49046) = 2405068702
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