What is the Least Common Multiple of 74550 and 74554?
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 74550 and 74554 is 2779000350.
LCM(74550,74554) = 2779000350
Least Common Multiple of 74550 and 74554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74550 and 74554, than apply into the LCM equation.
GCF(74550,74554) = 2
LCM(74550,74554) = ( 74550 × 74554) / 2
LCM(74550,74554) = 5558000700 / 2
LCM(74550,74554) = 2779000350
Least Common Multiple (LCM) of 74550 and 74554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74550 and 74554. First we will calculate the prime factors of 74550 and 74554.
Prime Factorization of 74550
Prime factors of 74550 are 2, 3, 5, 7, 71. Prime factorization of 74550 in exponential form is:
74550 = 21 × 31 × 52 × 71 × 711
Prime Factorization of 74554
Prime factors of 74554 are 2, 37277. Prime factorization of 74554 in exponential form is:
74554 = 21 × 372771
Now multiplying the highest exponent prime factors to calculate the LCM of 74550 and 74554.
LCM(74550,74554) = 21 × 31 × 52 × 71 × 711 × 372771
LCM(74550,74554) = 2779000350
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