What is the Least Common Multiple of 747 and 756?
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 747 and 756 is 62748.
LCM(747,756) = 62748
Least Common Multiple of 747 and 756 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 747 and 756, than apply into the LCM equation.
GCF(747,756) = 9
LCM(747,756) = ( 747 × 756) / 9
LCM(747,756) = 564732 / 9
LCM(747,756) = 62748
Least Common Multiple (LCM) of 747 and 756 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 756. First we will calculate the prime factors of 747 and 756.
Prime Factorization of 747
Prime factors of 747 are 3, 83. Prime factorization of 747 in exponential form is:
747 = 32 × 831
Prime Factorization of 756
Prime factors of 756 are 2, 3, 7. Prime factorization of 756 in exponential form is:
756 = 22 × 33 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 756.
LCM(747,756) = 33 × 831 × 22 × 71
LCM(747,756) = 62748
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