What is the Least Common Multiple of 51974 and 51990?
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 51974 and 51990 is 1351064130.
LCM(51974,51990) = 1351064130
Least Common Multiple of 51974 and 51990 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51974 and 51990, than apply into the LCM equation.
GCF(51974,51990) = 2
LCM(51974,51990) = ( 51974 × 51990) / 2
LCM(51974,51990) = 2702128260 / 2
LCM(51974,51990) = 1351064130
Least Common Multiple (LCM) of 51974 and 51990 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51974 and 51990. First we will calculate the prime factors of 51974 and 51990.
Prime Factorization of 51974
Prime factors of 51974 are 2, 13, 1999. Prime factorization of 51974 in exponential form is:
51974 = 21 × 131 × 19991
Prime Factorization of 51990
Prime factors of 51990 are 2, 3, 5, 1733. Prime factorization of 51990 in exponential form is:
51990 = 21 × 31 × 51 × 17331
Now multiplying the highest exponent prime factors to calculate the LCM of 51974 and 51990.
LCM(51974,51990) = 21 × 131 × 19991 × 31 × 51 × 17331
LCM(51974,51990) = 1351064130
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