What is the Least Common Multiple of 47536 and 47554?

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 of 47536 and 47554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47536 and 47554, than apply into the LCM equation.

GCF(47536,47554) = 2
LCM(47536,47554) = ( 47536 × 47554) / 2
LCM(47536,47554) = 2260526944 / 2
LCM(47536,47554) = 1130263472

Least Common Multiple (LCM) of 47536 and 47554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47536 and 47554. First we will calculate the prime factors of 47536 and 47554.

Prime Factorization of 47536

Prime Factorization of 47554

Now multiplying the highest exponent prime factors to calculate the LCM of 47536 and 47554.

LCM(47536,47554) = 2⁴ × 2971¹ × 13¹ × 31¹ × 59¹
LCM(47536,47554) = 1130263472